Inconsistent System: An inconsistent system is a system of linear equations where there is no solution that satisfies all the equations in the system. The equations in the system are incompatible and have no common solution.
Dependent System: A dependent system is a system of linear equations where there are infinitely many solutions that satisfy all the equations in the system. The equations in the system are linearly dependent and have a common solution.
Augmented Matrix: An augmented matrix is a matrix that combines the coefficients of the variables and the constants on the right-hand side of a system of linear equations. It is used to represent and solve the system.